Two angles are complementary if the sum of their measures is 90^(∘).
Two angles are supplementary if the sum of their measures is 180^(∘).
We are told that the measures of two angles are 35^(∘) and 55^(∘).
To determine whether they are complementary, supplementary, or neither, we will calculate the sum of their measures.
35^(∘) + 55^(∘) = 90^(∘)
Since the sum is 90^(∘), the angles are complementary.
